About me

My name is Piotr Achinger, I am currently (20162017) spending the second year of my EPDI postdoc at the IHES in BuressurYvette.
I got my PhD in Mathematics in 2015 from University of California, Berkeley; it was my pleasure to work under the guidance of Arthur Ogus. The first three years of my PhD were supported by an International Fulbright Science and Technology Fellowship. I spent the first year (20152016) of my EPDI postdoc at the Banach Center at IM PAN in my home city of Warsaw.
My thesis K(pi, 1) Spaces in Algebraic Geometry
Interests
 algebraic geometry in characteristic p
 Frobenius splittings
 etale fundamental group
 deformation theory
 CalabiYau varieties
 logarithmic geometry
Publications
 Frobenius PushForwards on Quadrics, Communications in Algebra 40:8 (2012)
(arXiv)
 (with Nicolas Perrin) Spherical multiple flags, in Schubert Calculus – Osaka 2012, Advanced Studies of Pure Mathematics vol. 71, 2017 (arXiv)
 A characterization of toric varieties in positive characteristic, International Mathematics Research Notices 16 (2015) (arXiv)
 K(pi, 1)neighborhoods and comparison theorems, Compositio Mathematica 151 (2015) (arXiv)
 (with Nathan Ilten and Hendrik Süß) FSplit and FRegular Varieties with a Diagonalizable Group Action, to appear in Journal of Algebraic Geometry (arXiv)
 (with Maciej Zdanowicz) Some elementary examples of nonliftable varieties, to appear in Proceedings of the AMS (arXiv)
 Wild ramification and K(pi, 1) spaces, Inventiones Mathematicae (online first, Open Access at SpringerLink) (arXiv)
Preprints

(with Jakub Witaszek and Maciej Zdanowicz) Liftability of the Frobenius morphism and images of toric varieties (arXiv) (video of my talk at BIRS in Oaxaca) (notes from that talk)
Other projects
